Orlicz log-Aleksandrov-Fenchel inequality
General Mathematics
2023-04-05 v1
Abstract
In this paper, we establish an Orlicz log-Aleksandrov-Fenchel inequality by introducing new concepts of mixed volume measure and Orlicz multiple mixed volume measure, and using the Orlicz-Aleksandrov-Fenchel inequality. The Orlicz log-Aleksandrov-Fenchel inequality in special cases yield the classical Aleksandrov-Fenchel inequality and Orlicz log-Minkowski type inequality, respectively.
Keywords
Cite
@article{arxiv.2304.01361,
title = {Orlicz log-Aleksandrov-Fenchel inequality},
author = {Chang-Jian Zhao},
journal= {arXiv preprint arXiv:2304.01361},
year = {2023}
}